A new method of quantitative structure-retention relationship (QSRR) is pro
posed for estimating and predicting gas chromatographic retention indices o
f alkanes by using a novel molecular distance-edge vector, called mu vector
, containing 10 elements. The QSRR model (M1), between the mu vector and ch
romatographic retention indices of 64 alkanes, was developed by using multi
ple linear regression (MLR) with the correlation coefficient being R = 0.99
92 and the root mean square (RMS) error between the estimated and measured
retention indices being RMS = 5.938. In order to explain the equation stabi
lity and prediction abilities of the M1 model, it is essential to perform a
cross-validation (CV) procedure. Satisfactory CV results have been obtaine
d by using one external predicted sample every time with the average correl
ation coefficient being R = 0.9988 and average RMS = 7.128. If 21 compounds
, about one third drawn from all 64 alkanes, construct an external predicti
on set and the 43 remaining construct an internal calibration set, the seco
nd QSRR model (M2) can be created by using calibration set data with statis
tics being R = 0.9993 and RMS = 5.796. The chromatographic retention indice
s of 21 compounds in the external testing set can be predicted by the M2 mo
del and good prediction results are obtained with R = 0.9988 and RMS = 6.50
8.